Summation Notation and Arithmetic Sequences Precalculus Homework

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Summation Notation and Arithmetic Sequences Precalculus Homework

1.

Write the sum using summation notation, assuming the suggested pattern continues.

1 – 3 + 9 – 27 + … (2 points)

summation of one times three to the power of n from n equals zero to infinity

summation of one times three to the power of the quantity n plus one from n equals zero to infinity

summation of one times negative three to the power of n from n equals zero to infinity

summation of one times negative three to the power of the quantity n plus one from n equals zero to infinity

2.

Write the sum using summation notation, assuming the suggested pattern continues.

-9 – 4 + 1 + 6 + … + 66 (2 points)

summation of negative forty five times n from n equals zero to fifteen

summation of the quantity negative nine plus five n from n equals zero to fifteen

summation of the quantity negative nine plus five n from n equals zero to infinity

summation of negative forty five times n from n equals zero to infinity

3.

Write the sum using summation notation, assuming the suggested pattern continues.

16 + 25 + 36 + 49 + … + n2 + … (2 points)

summation of n squared from n equals five to infinity

summation of n plus one squared from n equals four to infinity

summation of n minus one squared from n equals four to infinity

summation of n squared from n equals four to infinity

4.

Find the sum of the arithmetic sequence.

-10, -7, -4, -1, 2, 5, 8 (1 point)

11

-70

0

-7

5.

Find the sum of the geometric sequence. (1 point)

1, one divided by two, one divided by four, one divided by eight, one divided by sixteen

thirty one divided by sixteen

one divided by twenty four

one divided by six

93

6.

Find the sum of the first 8 terms of the sequence. Show all work for full credit.

1, -3, -7, -11, … (2 points)

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